Φ-CARLESON MEASURES AND MULTIPLIERS BETWEEN BERGMAN-ORLICZ SPACES OF THE UNIT BALL OF ℂn

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Abstract

We define the notion of Φ-Carleson measures, where Φ is either a concave growth function or a convex growth function, and provide an equivalent definition. We then characterize Φ-Carleson measures for Bergman-Orlicz spaces and use them to characterize multipliers between Bergman-Orlicz spaces.

Original languageEnglish
Pages (from-to)63-79
Number of pages17
JournalJournal of the Australian Mathematical Society
Volume104
Issue number1
DOIs
Publication statusPublished - 1 Feb 2018

Keywords

  • Bergman-Orlicz spaces
  • Carleson measures
  • multipliers

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